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On the Modeling of an Emitting Cylindrical Transducer With a Piezoelectric Polymer Membrane

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This work aims at providing a theoretical description of an ultrasonic emitting transducer, which consists of a cylindrical Polyvinylidene fluoride (PVDF) membrane coupled to an air-filled back-cavity. Based on the fundamental equations of piezoelectricity and linear acoustics, and assuming axisymmetrical geometry, an analytical model which describes the coupling of the displacement field of the membrane with the pressure fields on both of its sides is presented. Solutions are obtained using modal expansion theory for the displacement field of the membrane and for the acoustic pressure field in the axial-direction of the back-cavity. This model permits to predict the resonances of the system, which are not taken into account in an earlier work. A lumped elements network is then derived from the analytical solution, valid in the lowest frequency range, when keeping only one mode and when considering two levels of approximations. Comparison between measurement results and theoretical ones of the pressure radiated by two prototypes of emitter shows an overall good agreement.
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Document Type: Research Article

Publication date: July 1, 2016

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  • Acta Acustica united with Acustica, published together with the European Acoustics Association (EAA), is an international, peer-reviewed journal on acoustics. It publishes original articles on all subjects in the field of acoustics, such as general linear acoustics, nonlinear acoustics, macrosonics, flow acoustics, atmospheric sound, underwater sound, ultrasonics, physical acoustics, structural acoustics, noise control, active control, environmental noise, building acoustics, room acoustics, acoustic materials, acoustic signal processing, computational and numerical acoustics, hearing, audiology and psychoacoustics, speech, musical acoustics, electroacoustics, auditory quality of systems. It reports on original scientific research in acoustics and on engineering applications. The journal considers scientific papers, technical and applied papers, book reviews, short communications, doctoral thesis abstracts, etc. In irregular intervals also special issues and review articles are published.
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